跪求微积分和代数等类数学题的英文解题模板或例子请求微积分和代数等类数学题的英文解题模板或例子,越多越好,最好是有完整的英文答题卷,有考试要求用英文作答,考题都是微积分线性

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跪求微积分和代数等类数学题的英文解题模板或例子请求微积分和代数等类数学题的英文解题模板或例子,越多越好,最好是有完整的英文答题卷,有考试要求用英文作答,考题都是微积分线性
跪求微积分和代数等类数学题的英文解题模板或例子
请求微积分和代数等类数学题的英文解题模板或例子,越多越好,最好是有完整的英文答题卷,
有考试要求用英文作答,考题都是微积分线性代数以及概率论数理统计,所以各位有答题模板的望告知谢谢!

跪求微积分和代数等类数学题的英文解题模板或例子请求微积分和代数等类数学题的英文解题模板或例子,越多越好,最好是有完整的英文答题卷,有考试要求用英文作答,考题都是微积分线性
你是要高等微积分嘛?
Accurate calculate way,
Calculus
例题:
consider the curve given by y的平方 =2+xy
(1) show that dy/dx = y/(2y-x)
(2) find all points (x,y) on the curve where the line tagent to the curve has slope 1/2
(3)show that there are no points (x,y) on the curve where the line tangent to the curve is horizontal
(4) let x and y be functions of time t that are related by the equation y的平方 =2+xy. at time t=5, the value of y is 3 and dy/dt=6. find the value of dx/dt at time t=5
答案:
(1)
y的平方 =2+xy
2y(dy/dx) =x(dy/dx)+y(1)
(2y-x)(dy/dx)=y
dy/dx = y/(2y-x)
(2)
when dy/dx = 1/2
y/(2y-x) = 1/2
2y=2y-x
x=0
y的平方 =2+(0)y
y^2=2
y=(+/-)根2
(3)
Show when dy/dx = 0
no solution
(4)
prove 2y*dy/dx=y+x*dy/dx
so dy/dx=y/(2y-x)